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Finding the Fourth Proportional to 129,642.10, 194,135.10 and 123,737.20

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Solution

The fourth proportional to 129,642.10, 194,135.10 and 123,737.20 is: 185,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,642.10 : 194,135.10 = 123,737.20 : x
  2. Step 2: Convert to fraction form
    129,642.10/194,135.10 = 123,737.20/x
  3. Step 3: Cross multiply
    129,642.10x = 194,135.10 × 123,737.20
  4. Step 4: Simplify right side
    129,642.10x = 24,021,733,695.72
  5. Step 5: Solve for x
    x = 24,021,733,695.72/129,642.10
  6. Step 6: Final answer
    x = 185,292.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.